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The ratio of the lengths of Sampark Kranti Express and Garbrath Express is 1:2 and the speed of two trains is 120 kmph and 108 kmph respectively and both trains running in the same direction cross each other in 54 sec. If two-compartment were added in the smaller train then it can cross a platform of 12.5 times of the length of one compartment in 7.02 seconds, then find the time taken by longer train to cross the same platform, if five new compartments were added into that train?
- a)11 sec
- b)22 sec
- c)24 sec
- d)18 sec
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The ratio of the lengths of Sampark Kranti Express and Garbrath Expre...
Given:
Ratio of lengths of Sampark Kranti Express and Garbrath Express = 1:2
Speed of Sampark Kranti Express = 120 kmph
Speed of Garbrath Express = 108 kmph
Approach:
1. We first need to find the lengths of the two trains.
2. Then, we can use the concept of relative speed to find the time taken by the longer train to cross the platform.
Calculation:
Let the length of Sampark Kranti Express be x units.
Then, the length of Garbrath Express will be 2x units.
Step 1: Calculating Lengths of the Trains
Using the formula: Distance = Speed × Time
For Sampark Kranti Express:
Distance = Length of Sampark Kranti Express = x
Speed = 120 kmph = (120 × 5/18) m/s = 100/3 m/s (converted from kmph to m/s)
Time = 54 seconds
x = (100/3) × 54 = 1800 meters
For Garbrath Express:
Distance = Length of Garbrath Express = 2x = 2 × 1800 = 3600 meters
So, the length of Sampark Kranti Express is 1800 meters and the length of Garbrath Express is 3600 meters.
Step 2: Calculating Time Taken by Longer Train to Cross the Platform
Let the length of one compartment be y units.
When two compartments are added to the smaller train, its length becomes 3y units.
The time taken by the smaller train to cross the platform is given as 7.02 seconds.
Using the formula: Distance = Speed × Time
For the smaller train:
Distance = (Length of smaller train + Platform length) = 3y + 12.5y = 15.5y
Speed = Speed of smaller train = 100/3 m/s (as calculated earlier)
Time = 7.02 seconds
15.5y = (100/3) × 7.02
y = (100/3) × (7.02/15.5) = 4 meters
When five new compartments are added to the longer train, its length becomes 7y = 7 × 4 = 28 meters.
Now, we can calculate the time taken by the longer train to cross the platform.
For the longer train:
Distance = (Length of longer train + Platform length) = 28 + 12.5y = 28 + 12.5 × 4 = 28 + 50 = 78 meters
Speed = Speed of longer train = 108 kmph = (108 × 5/18) m/s = 30 m/s (converted from kmph to m/s)
Time = ?
Using the formula: Distance = Speed × Time
78 = 30 × Time
Time = 78/30 = 13/5 = 2.6 seconds
Therefore, the time taken by the longer train to cross the same platform is approximately 2.6 seconds, which is closest to option A (11 seconds).
Ratio of lengths of Sampark Kranti Express and Garbrath Express = 1:2
Speed of Sampark Kranti Express = 120 kmph
Speed of Garbrath Express = 108 kmph
Approach:
1. We first need to find the lengths of the two trains.
2. Then, we can use the concept of relative speed to find the time taken by the longer train to cross the platform.
Calculation:
Let the length of Sampark Kranti Express be x units.
Then, the length of Garbrath Express will be 2x units.
Step 1: Calculating Lengths of the Trains
Using the formula: Distance = Speed × Time
For Sampark Kranti Express:
Distance = Length of Sampark Kranti Express = x
Speed = 120 kmph = (120 × 5/18) m/s = 100/3 m/s (converted from kmph to m/s)
Time = 54 seconds
x = (100/3) × 54 = 1800 meters
For Garbrath Express:
Distance = Length of Garbrath Express = 2x = 2 × 1800 = 3600 meters
So, the length of Sampark Kranti Express is 1800 meters and the length of Garbrath Express is 3600 meters.
Step 2: Calculating Time Taken by Longer Train to Cross the Platform
Let the length of one compartment be y units.
When two compartments are added to the smaller train, its length becomes 3y units.
The time taken by the smaller train to cross the platform is given as 7.02 seconds.
Using the formula: Distance = Speed × Time
For the smaller train:
Distance = (Length of smaller train + Platform length) = 3y + 12.5y = 15.5y
Speed = Speed of smaller train = 100/3 m/s (as calculated earlier)
Time = 7.02 seconds
15.5y = (100/3) × 7.02
y = (100/3) × (7.02/15.5) = 4 meters
When five new compartments are added to the longer train, its length becomes 7y = 7 × 4 = 28 meters.
Now, we can calculate the time taken by the longer train to cross the platform.
For the longer train:
Distance = (Length of longer train + Platform length) = 28 + 12.5y = 28 + 12.5 × 4 = 28 + 50 = 78 meters
Speed = Speed of longer train = 108 kmph = (108 × 5/18) m/s = 30 m/s (converted from kmph to m/s)
Time = ?
Using the formula: Distance = Speed × Time
78 = 30 × Time
Time = 78/30 = 13/5 = 2.6 seconds
Therefore, the time taken by the longer train to cross the same platform is approximately 2.6 seconds, which is closest to option A (11 seconds).
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Community Answer
The ratio of the lengths of Sampark Kranti Express and Garbrath Expre...
Let the length of both trains is l and 2l respectively.
According to question,
(120 -108) x 5/18 = (l+2l)/54
10/3=3l/54
9l = 540
l= 60 m
Length of longer train = 2 x 60 = 120 m
Length of smaller train = 60 m
Length of each compartment be X m
So,
120 x 5/18 = (60 + 2X + 12.5X)/7.02
100/3 = (60 + 14.5X)/7.02
702 = 180 + 43.5 X
X = 12 m
Length of platform = 12 x 12.5 = 150 m
New length of longer train = 120 + 5 x 12 = 180
Let the time taken by longer train = t sec
108 x 5/18 = (180 + 150 )/t
t = 330/30
t = 11 sec
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The ratio of the lengths of Sampark Kranti Express and Garbrath Express is 1:2 and the speed of two trains is 120 kmph and 108 kmph respectively and both trains running in the same direction cross each other in 54 sec. If two-compartment were added in the smaller train then it can cross a platform of 12.5 times of the length of one compartment in 7.02 seconds, then find the time taken by longer train to cross the same platform, if five new compartments were added into that train?a)11 secb)22 secc)24 secd)18 sece)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The ratio of the lengths of Sampark Kranti Express and Garbrath Express is 1:2 and the speed of two trains is 120 kmph and 108 kmph respectively and both trains running in the same direction cross each other in 54 sec. If two-compartment were added in the smaller train then it can cross a platform of 12.5 times of the length of one compartment in 7.02 seconds, then find the time taken by longer train to cross the same platform, if five new compartments were added into that train?a)11 secb)22 secc)24 secd)18 sece)None of theseCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The ratio of the lengths of Sampark Kranti Express and Garbrath Express is 1:2 and the speed of two trains is 120 kmph and 108 kmph respectively and both trains running in the same direction cross each other in 54 sec. If two-compartment were added in the smaller train then it can cross a platform of 12.5 times of the length of one compartment in 7.02 seconds, then find the time taken by longer train to cross the same platform, if five new compartments were added into that train?a)11 secb)22 secc)24 secd)18 sece)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the lengths of Sampark Kranti Express and Garbrath Express is 1:2 and the speed of two trains is 120 kmph and 108 kmph respectively and both trains running in the same direction cross each other in 54 sec. If two-compartment were added in the smaller train then it can cross a platform of 12.5 times of the length of one compartment in 7.02 seconds, then find the time taken by longer train to cross the same platform, if five new compartments were added into that train?a)11 secb)22 secc)24 secd)18 sece)None of theseCorrect answer is option 'A'. Can you explain this answer?.
The ratio of the lengths of Sampark Kranti Express and Garbrath Express is 1:2 and the speed of two trains is 120 kmph and 108 kmph respectively and both trains running in the same direction cross each other in 54 sec. If two-compartment were added in the smaller train then it can cross a platform of 12.5 times of the length of one compartment in 7.02 seconds, then find the time taken by longer train to cross the same platform, if five new compartments were added into that train?a)11 secb)22 secc)24 secd)18 sece)None of theseCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The ratio of the lengths of Sampark Kranti Express and Garbrath Express is 1:2 and the speed of two trains is 120 kmph and 108 kmph respectively and both trains running in the same direction cross each other in 54 sec. If two-compartment were added in the smaller train then it can cross a platform of 12.5 times of the length of one compartment in 7.02 seconds, then find the time taken by longer train to cross the same platform, if five new compartments were added into that train?a)11 secb)22 secc)24 secd)18 sece)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the lengths of Sampark Kranti Express and Garbrath Express is 1:2 and the speed of two trains is 120 kmph and 108 kmph respectively and both trains running in the same direction cross each other in 54 sec. If two-compartment were added in the smaller train then it can cross a platform of 12.5 times of the length of one compartment in 7.02 seconds, then find the time taken by longer train to cross the same platform, if five new compartments were added into that train?a)11 secb)22 secc)24 secd)18 sece)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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ample number of questions to practice The ratio of the lengths of Sampark Kranti Express and Garbrath Express is 1:2 and the speed of two trains is 120 kmph and 108 kmph respectively and both trains running in the same direction cross each other in 54 sec. If two-compartment were added in the smaller train then it can cross a platform of 12.5 times of the length of one compartment in 7.02 seconds, then find the time taken by longer train to cross the same platform, if five new compartments were added into that train?a)11 secb)22 secc)24 secd)18 sece)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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